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22112013137 is a prime number
BaseRepresentation
bin10100100101111110…
…101000101101010001
32010002000122122121112
4110211332220231101
5330241133410022
614054053103105
71411646003414
oct244576505521
963060578545
1022112013137
119417722825
124351327a95
132115110756
1410da9bbb7b
158963a78e2
hex525fa8b51

22112013137 has 2 divisors, whose sum is σ = 22112013138. Its totient is φ = 22112013136.

The previous prime is 22112013107. The next prime is 22112013191. The reversal of 22112013137 is 73131021122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11361641281 + 10750371856 = 106591^2 + 103684^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112013137 - 212 = 22112009041 is a prime.

It is a super-2 number, since 2×221120131372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22112013107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056006568 + 11056006569.

It is an arithmetic number, because the mean of its divisors is an integer number (11056006569).

Almost surely, 222112013137 is an apocalyptic number.

It is an amenable number.

22112013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112013137 is an equidigital number, since it uses as much as digits as its factorization.

22112013137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 22112013137 its reverse (73131021122), we get a palindrome (95243034259).

The spelling of 22112013137 in words is "twenty-two billion, one hundred twelve million, thirteen thousand, one hundred thirty-seven".